Existence of black hole solutions for the Einstein-Yang/Mills equations |
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| Authors: | J. A. Smoller A. G. Wasserman S. T. Yau |
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| Affiliation: | (1) Department of Mathematics, University of Michigan, 48104-1003 Ann Arbor, MI, USA;(2) Department of Mathematics, Harvard University, 02138 Cambridge, MA, USA |
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| Abstract: | This paper provides a rigorous proof of the existence of an infinite number of black hole solutions to the Einstein-Yang/Mills equations with gauge groupSU(2), for any event horizon. It is also demonstrated that the ADM mass of each solutions is finite, and that the corresponding Einstein metric tends to the associated Schwarzschild metric at a rate 1/r2, asr tends to infinity.Research supported in part by the NSF, Contract No. DMS-89-05205Research supported in part by the DE, Contract No. De-FG 02-88 EF 25065 |
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